31887649017225 has 243 divisors, whose sum is σ = 60448055034549. Its totient is φ = 16685956195200.

The previous prime is 31887649017223. The next prime is 31887649017227. The reversal of 31887649017225 is 52271094678813.

The square root of 31887649017225 is 5646915.

It is a perfect power (a square), and thus also a powerful number.

31887649017225 is a `hidden beast` number, since 3 + 1 + 8 + 8 + 76 + 490 + 1 + 72 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (31887649017223) and next prime (31887649017227).

It can be written as a sum of positive squares in 4 ways, for example, as 174487492089 + 31713161525136 = 417717^2 + 5631444^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 31887649017225 - 2¹ = 31887649017223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31887649017223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 166951041880 + ... + 166951042070.

It is a 1-persistent number, because it is pandigital, but 2⋅31887649017225 = 63775298034450 is not.

Almost surely, 2^{31887649017225} is an apocalyptic number.

31887649017225 is the 5646915-th square number.

31887649017225 is the 2823458-th centered octagonal number.

It is an amenable number.

31887649017225 is a deficient number, since it is larger than the sum of its proper divisors (28560406017324).

31887649017225 is an frugal number, since it uses more digits than its factorization.

31887649017225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 31887649017225 in words is "thirty-one trillion, eight hundred eighty-seven billion, six hundred forty-nine million, seventeen thousand, two hundred twenty-five".